Find the volume of the body obtained by rotating a rectangle with a diagonal of 10 cm

Find the volume of the body obtained by rotating a rectangle with a diagonal of 10 cm and a smaller side of 6 cm around this side

Find the big side of the rectangle. We have by the Pythagorean theorem: R = √ (d ^ 2 – h ^ 2) = √ (10 ^ 2 – 6 ^ 2) = 8 cm.
2) The figure obtained by rotation is a cylinder. The large side of the rectangle is the radius of its base, and the smaller is the height. Therefore, V = Sosn. * h = πR ^ 2 * h = π * 8 ^ 2 * 6 = 384π cm3.
ANSWER: 384π cm3.